Mark is making a model castle out of clay . One of the root peaks is in the shape of a cone with a diameter of 14 inches and a slant height of 20 inches What is the surface area of the cone peak ? Round your to the hundredth Use 3.14 for pi point ) square inches

1 answer

The surface area of the cone peak can be calculated using the formula:

Surface Area = πr(r + l)

where r is the radius of the base of the cone and l is the slant height.

Given that the diameter is 14 inches, the radius would be half of the diameter, so r = 14/2 = 7 inches.

Using this information, we can now substitute the values into the formula:

Surface Area = 3.14 * 7 * (7 + 20)

Calculating this will give us:

Surface Area = 3.14 * 7 * 27

Surface Area ≈ 593.22 square inches (rounded to the hundredth)